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Finding the Third Proportional to 289,044 and 444,836

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Solution

The third proportional to 289,044 and 444,836 is: 684,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,044 : 444,836 = 444,836 : x
  2. Step 2: Convert to fraction form
    289,044/444,836 = 444,836/x
  3. Step 3: Cross multiply
    289,044x = 444,836 × 444,836
  4. Step 4: Simplify right side
    289,044x = 197,879,066,896
  5. Step 5: Solve for x
    x = 197,879,066,896/289,044
  6. Step 6: Final answer
    x = 684,598.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.